You have $4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters. How much of each coin do you have? show work

PLEASE I NEED HELP ASAP

13 quarters and 21 nickels

Step-by-step explanation:

In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.

0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)

0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)

0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)

0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)

0.3x = 3.9 (Divide both sides by 0.3)

x = 3.9/0.3 (Divide 3.9 by 0.3)

x = 13

Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.

Substitute x for 13 in the equation to see if this is true.

0.25(13) + 0.05(13 + 8) = 4.3

3.25 + 0.05(21) = 4.3

3.25 + 1.05 = 4.3

4.3 = 4.3

So, x is 13.

step-by-step explanation:

10+4√2 is the answer. i dont have the time to explain.